// Copyright 2008 The RE2 Authors. All Rights Reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. // Tested by search_test.cc, exhaustive_test.cc, tester.cc // // Prog::BadSearchBacktrack is a backtracking regular expression search, // except that it remembers where it has been, trading a lot of // memory for a lot of time. It exists only for testing purposes. // // Let me repeat that. // // THIS CODE SHOULD NEVER BE USED IN PRODUCTION: // - It uses a ton of memory. // - It uses a ton of stack. // - It uses CHECK and LOG(FATAL). // - It implements unanchored search by repeated anchored search. // // On the other hand, it is very simple and a good reference // implementation for the more complicated regexp packages. // // In BUILD, this file is linked into the ":testing" library, // not the main library, in order to make it harder to pick up // accidentally. #include "util/util.h" #include "re2/prog.h" #include "re2/regexp.h" namespace re2 { // Backtracker holds the state for a backtracking search. // // Excluding the search parameters, the main search state // is just the "capture registers", which record, for the // current execution, the string position at which each // parenthesis was passed. cap_[0] and cap_[1] are the // left and right parenthesis in $0, cap_[2] and cap_[3] in $1, etc. // // To avoid infinite loops during backtracking on expressions // like (a*)*, the visited_[] bitmap marks the (state, string-position) // pairs that have already been explored and are thus not worth // re-exploring if we get there via another path. Modern backtracking // libraries engineer their program representation differently, to make // such infinite loops possible to avoid without keeping a giant visited_ // bitmap, but visited_ works fine for a reference implementation // and it has the nice benefit of making the search run in linear time. class Backtracker { public: explicit Backtracker(Prog* prog); ~Backtracker(); bool Search(const StringPiece& text, const StringPiece& context, bool anchored, bool longest, StringPiece* submatch, int nsubmatch); private: // Explores from instruction ip at string position p looking for a match. // Returns true if found (so that caller can stop trying other possibilities). bool Visit(int id, const char* p); // Search parameters Prog* prog_; // program being run StringPiece text_; // text being searched StringPiece context_; // greater context of text being searched bool anchored_; // whether search is anchored at text.begin() bool longest_; // whether search wants leftmost-longest match bool endmatch_; // whether search must end at text.end() StringPiece *submatch_; // submatches to fill in int nsubmatch_; // # of submatches to fill in // Search state const char* cap_[64]; // capture registers uint32 *visited_; // bitmap: (Inst*, char*) pairs already backtracked int nvisited_; // # of words in bitmap }; Backtracker::Backtracker(Prog* prog) : prog_(prog), anchored_(false), longest_(false), endmatch_(false), submatch_(NULL), nsubmatch_(0), visited_(NULL), nvisited_(0) { } Backtracker::~Backtracker() { delete[] visited_; } // Runs a backtracking search. bool Backtracker::Search(const StringPiece& text, const StringPiece& context, bool anchored, bool longest, StringPiece* submatch, int nsubmatch) { text_ = text; context_ = context; if (context_.begin() == NULL) context_ = text; if (prog_->anchor_start() && text.begin() > context_.begin()) return false; if (prog_->anchor_end() && text.end() < context_.end()) return false; anchored_ = anchored | prog_->anchor_start(); longest_ = longest | prog_->anchor_end(); endmatch_ = prog_->anchor_end(); submatch_ = submatch; nsubmatch_ = nsubmatch; CHECK(2*nsubmatch_ < arraysize(cap_)); memset(cap_, 0, sizeof cap_); // We use submatch_[0] for our own bookkeeping, // so it had better exist. StringPiece sp0; if (nsubmatch < 1) { submatch_ = &sp0; nsubmatch_ = 1; } submatch_[0] = NULL; // Allocate new visited_ bitmap -- size is proportional // to text, so have to reallocate on each call to Search. delete[] visited_; nvisited_ = (prog_->size()*(text.size()+1) + 31)/32; visited_ = new uint32[nvisited_]; memset(visited_, 0, nvisited_*sizeof visited_[0]); // Anchored search must start at text.begin(). if (anchored_) { cap_[0] = text.begin(); return Visit(prog_->start(), text.begin()); } // Unanchored search, starting from each possible text position. // Notice that we have to try the empty string at the end of // the text, so the loop condition is p <= text.end(), not p < text.end(). for (const char* p = text.begin(); p <= text.end(); p++) { cap_[0] = p; if (Visit(prog_->start(), p)) // Match must be leftmost; done. return true; } return false; } // Explores from instruction ip at string position p looking for a match. // Return true if found (so that caller can stop trying other possibilities). bool Backtracker::Visit(int id, const char* p) { // Check bitmap. If we've already explored from here, // either it didn't match or it did but we're hoping for a better match. // Either way, don't go down that road again. CHECK(p <= text_.end()); int n = id*(text_.size()+1) + (p - text_.begin()); CHECK_LT(n/32, nvisited_); if (visited_[n/32] & (1 << (n&31))) return false; visited_[n/32] |= 1 << (n&31); // Pick out byte at current position. If at end of string, // have to explore in hope of finishing a match. Use impossible byte -1. int c = -1; if (p < text_.end()) c = *p & 0xFF; Prog::Inst* ip = prog_->inst(id); switch (ip->opcode()) { default: LOG(FATAL) << "Unexpected opcode: " << (int)ip->opcode(); return false; // not reached case kInstAlt: case kInstAltMatch: // Try both possible next states: out is preferred to out1. if (Visit(ip->out(), p)) { if (longest_) Visit(ip->out1(), p); return true; } return Visit(ip->out1(), p); case kInstByteRange: if (ip->Matches(c)) return Visit(ip->out(), p+1); return false; case kInstCapture: if (0 <= ip->cap() && ip->cap() < arraysize(cap_)) { // Capture p to register, but save old value. const char* q = cap_[ip->cap()]; cap_[ip->cap()] = p; bool ret = Visit(ip->out(), p); // Restore old value as we backtrack. cap_[ip->cap()] = q; return ret; } return Visit(ip->out(), p); case kInstEmptyWidth: if (ip->empty() & ~Prog::EmptyFlags(context_, p)) return false; return Visit(ip->out(), p); case kInstNop: return Visit(ip->out(), p); case kInstMatch: // We found a match. If it's the best so far, record the // parameters in the caller's submatch_ array. if (endmatch_ && p != context_.end()) return false; cap_[1] = p; if (submatch_[0].data() == NULL || // First match so far ... (longest_ && p > submatch_[0].end())) { // ... or better match for (int i = 0; i < nsubmatch_; i++) submatch_[i] = StringPiece(cap_[2*i], cap_[2*i+1] - cap_[2*i]); } return true; case kInstFail: return false; } } // Runs a backtracking search. bool Prog::UnsafeSearchBacktrack(const StringPiece& text, const StringPiece& context, Anchor anchor, MatchKind kind, StringPiece* match, int nmatch) { // If full match, we ask for an anchored longest match // and then check that match[0] == text. // So make sure match[0] exists. StringPiece sp0; if (kind == kFullMatch) { anchor = kAnchored; if (nmatch < 1) { match = &sp0; nmatch = 1; } } // Run the search. Backtracker b(this); bool anchored = anchor == kAnchored; bool longest = kind != kFirstMatch; if (!b.Search(text, context, anchored, longest, match, nmatch)) return false; if (kind == kFullMatch && match[0].end() != text.end()) return false; return true; } } // namespace re2